{"schema":"vela.problem-packet.v0.1","problem":170,"statement":"Let $F(N)$ be the smallest possible size of $A\\subset \\{0,1,\\ldots,N\\}$ such that $\\{0,1,\\ldots,N\\}\\subset A-A$. Find the value of\\[\\lim_{N\\to \\infty}\\frac{F(N)}{N^{1/2}}.\\]","status":"open","seam":"raw","closureRoutes":[],"obligations":[],"attestations":[],"attempts":[],"velaLean":[],"oeis":[{"id":"A046693","name":"Size of smallest subset S of N={0,1,2,...,n} such that S-S=N, where S-S={abs(i-j) | i,j in S}.","terms":"1,2,3,3,4,4,4,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,8,8,9,9,9,9,9,9,10,10,10,10,10,10,10,11,11,11,11,11,11,11,12,12,12,12,12,12,","url":"https://oeis.org/A046693"}],"generated_note":"derived view; the signed event log is the source of truth (vela check / vela reproduce)"}